Question

Let [n] represent the greatest even integer less than n that divides n, for any positive integer n. For example, [24] = 12. What is the value of [20]

Answer 1

10

Answer 2

First you want to list all the integers that divide 20, then pick the largest one.

Answer 3

Why?

Answer 4

2,5,10 are the positive integers INTEGERS not irrations or fractions so 10 is the largest, which yeilds the smallest positive integer

Answer 5

Integers that divide 20 are:
1, 2, 4, 5, 10, 20
But we only want integers that are less than 20, so get rid of the 20 on the list:
1, 2, 4, 5, 10.
The greatest even integer is 10.

Answer 6

Oh alright thanx.